What is the Greatest Common Factor of 48574 and 48590?

Greatest common factor (GCF) of 48574 and 48590 is 2.

GCF(48574,48590) = 2

We will now calculate the prime factors of 48574 and 48590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48574 and 48590.

How to find the GCF of 48574 and 48590?

We will first find the prime factorization of 48574 and 48590. After we will calculate the factors of 48574 and 48590 and find the biggest common factor number .

Step-1: Prime Factorization of 48574

Prime factors of 48574 are 2, 149, 163. Prime factorization of 48574 in exponential form is:

48574 = 2¹ × 149¹ × 163¹

Step-2: Prime Factorization of 48590

Prime factors of 48590 are 2, 5, 43, 113. Prime factorization of 48590 in exponential form is:

48590 = 2¹ × 5¹ × 43¹ × 113¹

Step-3: Factors of 48574

List of positive integer factors of 48574 that divides 48574 without a remainder.

1, 2, 149, 163, 298, 326, 24287

Step-4: Factors of 48590

List of positive integer factors of 48590 that divides 48574 without a remainder.

1, 2, 5, 10, 43, 86, 113, 215, 226, 430, 565, 1130, 4859, 9718, 24295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48574 and 48590. The biggest common factor number is the GCF number.
So the greatest common factor 48574 and 48590 is 2.

Also check out the Least Common Multiple of 48574 and 48590